Abstract
Correlation functions that can accurately predict the extent of the streamwise regions of influence for twodimensional supersonic turbulent flows over compression ramps, expansion corners, and shock-impingement flowfields have been developed. These empirically developed correlations that involve known flow parameters can be used to determine the lengths of the streamwise (upstream and downstream) regions of influence. The correlations were obtained by analyzing numerically generated compression ramp, expansion corner, and shockimpingement flowfields. These flowfields were computed using an iterative parabolized Navier‐Stokes algorithm in conjunction with the relaxation eddy-viscosity turbulence model of Shang and Hankey. Regression analysis using the least-squares approach was applied to the numerically generated data to determine the correlation functions. The accuracy of the developed correlations is demonstrated by comparing them with experimental and numerical data, and they were found to be accurate in predicting the extent of both the upstream and downstream influence regions.
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